[go: up one dir, main page]

Search a number
-
+
66154896 = 24323891181
BaseRepresentation
bin1111110001011…
…1000110010000
311121111000110100
43330113012100
5113413424041
610321532400
71432210263
oct374270620
9147430410
1066154896
1134385175
121a1a4100
1310923612
148b00cda
155c1b6b6
hex3f17190

66154896 has 60 divisors (see below), whose sum is σ = 185774940. Its totient is φ = 21976320.

The previous prime is 66154867. The next prime is 66154909. The reversal of 66154896 is 69845166.

66154896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 26010000 = 6336^2 + 5100^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55426 + ... + 56606.

It is an arithmetic number, because the mean of its divisors is an integer number (3096249).

Almost surely, 266154896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66154896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92887470).

66154896 is an abundant number, since it is smaller than the sum of its proper divisors (119620044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66154896 is a wasteful number, since it uses less digits than its factorization.

66154896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1575 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 66154896 is about 8133.5660076008. The cubic root of 66154896 is about 404.4399024925.

It can be divided in two parts, 6615 and 4896, that added together give a palindrome (11511).

The spelling of 66154896 in words is "sixty-six million, one hundred fifty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 389 778 1167 1181 1556 2334 2362 3112 3501 3543 4668 4724 6224 7002 7086 9336 9448 10629 14004 14172 18672 18896 21258 28008 28344 42516 56016 56688 85032 170064 459409 918818 1378227 1837636 2756454 3675272 4134681 5512908 7350544 8269362 11025816 16538724 22051632 33077448 66154896